TSTP Solution File: SET079-6 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET079-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 04:35:22 EDT 2022

% Result   : Unsatisfiable 2.94s 3.13s
% Output   : Refutation 2.94s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_corollary_to_set_in_its_singleton_1,negated_conjecture,
    member(x,universal_class),
    input ).

cnf(complement1,axiom,
    ( ~ member(X61,complement(X60))
    | ~ member(X61,X60) ),
    input ).

cnf(subclass_members,axiom,
    ( ~ subclass(X4,X6)
    | ~ member(X5,X4)
    | member(X5,X6) ),
    input ).

cnf(equal_implies_subclass1,axiom,
    ( X9 != X10
    | subclass(X9,X10) ),
    input ).

cnf(singleton_set,axiom,
    unordered_pair(X45,X45) = singleton(X45),
    input ).

cnf(prove_corollary_to_set_in_its_singleton_2,negated_conjecture,
    singleton(x) = null_class,
    input ).

cnf(transitivity,axiom,
    ( X197 != X199
    | X199 != X198
    | X197 = X198 ),
    eq_axiom ).

cnf(c547,plain,
    ( X320 != singleton(x)
    | X320 = null_class ),
    inference(resolution,status(thm),[transitivity,prove_corollary_to_set_in_its_singleton_2]) ).

cnf(c1576,plain,
    unordered_pair(x,x) = null_class,
    inference(resolution,status(thm),[c547,singleton_set]) ).

cnf(c1621,plain,
    subclass(unordered_pair(x,x),null_class),
    inference(resolution,status(thm),[c1576,equal_implies_subclass1]) ).

cnf(unordered_pair2,axiom,
    ( ~ member(X43,universal_class)
    | member(X43,unordered_pair(X43,X44)) ),
    input ).

cnf(c62,plain,
    member(x,unordered_pair(x,X46)),
    inference(resolution,status(thm),[unordered_pair2,prove_corollary_to_set_in_its_singleton_1]) ).

cnf(c70,plain,
    ( ~ subclass(unordered_pair(x,X465),X464)
    | member(x,X464) ),
    inference(resolution,status(thm),[c62,subclass_members]) ).

cnf(c3907,plain,
    member(x,null_class),
    inference(resolution,status(thm),[c70,c1621]) ).

cnf(c3916,plain,
    ( ~ subclass(null_class,X472)
    | member(x,X472) ),
    inference(resolution,status(thm),[c3907,subclass_members]) ).

cnf(equal_implies_subclass2,axiom,
    ( X14 != X15
    | subclass(X15,X14) ),
    input ).

cnf(class_elements_are_sets,axiom,
    subclass(X3,universal_class),
    input ).

cnf(regularity1,axiom,
    ( X126 = null_class
    | member(regular(X126),X126) ),
    input ).

cnf(c219,plain,
    ( X819 = null_class
    | ~ subclass(X819,X818)
    | member(regular(X819),X818) ),
    inference(resolution,status(thm),[regularity1,subclass_members]) ).

cnf(c8948,plain,
    ( X822 = null_class
    | member(regular(X822),universal_class) ),
    inference(resolution,status(thm),[c219,class_elements_are_sets]) ).

cnf(c221,plain,
    ( complement(X831) = null_class
    | ~ member(regular(complement(X831)),X831) ),
    inference(resolution,status(thm),[regularity1,complement1]) ).

cnf(c9265,plain,
    complement(universal_class) = null_class,
    inference(resolution,status(thm),[c221,c8948]) ).

cnf(c9307,plain,
    subclass(null_class,complement(universal_class)),
    inference(resolution,status(thm),[c9265,equal_implies_subclass2]) ).

cnf(c9354,plain,
    member(x,complement(universal_class)),
    inference(resolution,status(thm),[c9307,c3916]) ).

cnf(c9441,plain,
    ~ member(x,universal_class),
    inference(resolution,status(thm),[c9354,complement1]) ).

cnf(c9454,plain,
    $false,
    inference(resolution,status(thm),[c9441,prove_corollary_to_set_in_its_singleton_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET079-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jul  9 20:31:11 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 2.94/3.13  # Version:  1.3
% 2.94/3.13  # SZS status Unsatisfiable
% 2.94/3.13  # SZS output start CNFRefutation
% See solution above
% 2.94/3.13  
% 2.94/3.13  # Initial clauses    : 135
% 2.94/3.13  # Processed clauses  : 575
% 2.94/3.13  # Factors computed   : 2
% 2.94/3.13  # Resolvents computed: 9414
% 2.94/3.13  # Tautologies deleted: 9
% 2.94/3.13  # Forward subsumed   : 326
% 2.94/3.13  # Backward subsumed  : 1
% 2.94/3.13  # -------- CPU Time ---------
% 2.94/3.13  # User time          : 2.760 s
% 2.94/3.13  # System time        : 0.033 s
% 2.94/3.13  # Total time         : 2.793 s
%------------------------------------------------------------------------------